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    GCF (HCF) of 270 and 180

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 270 and 180?

    Answer

    GCF (HCF) of 270 and 180 is
    90

    Common factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

    90 divides both: 270 ÷ 90 = 3, 180 ÷ 90 = 2 — and 3 and 2 share no factor but 1, so no larger number divides both.

    270 = 2 × 33 × 5

    180 = 22 × 32 × 5

    Prime270180Lowest power
    22222
    3333232
    5555

    GCF = 2 × 32 × 5 = 90

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    What is the GCF (HCF) of 270 and 180. The GCF of 270 and 180 is 90 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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    GCF Table

    Number 1Number 2GCF
    27016515
    2701662
    2701671
    2701686
    2701691
    27017010
    2701719
    2701722
    2701731
    2701746
    2701755
    2701762
    2701773
    2701782
    2701791
    27018090
    2701811
    2701822
    2701833
    2701842
    2701855
    2701866
    2701871
    2701882
    27018927
    27019010
    2701911
    2701926
    2701931
    2701942

    FAQ

    What is the Greatest Common Divisor of 270 and 180?

    GCF (HCF) of 270 and 180 is 90

    How to find the GCF of 270 and 180?

    You can find the GCF of 270 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 180 is 90.

    What prime factors do 270 and 180 share?

    The prime factorizations of 270 and 180 have 2 × 3 × 3 × 5 in common, and multiplying those shared primes gives 90 — exactly the greatest common factor.

    How does the GCF reduce the fraction 270/180?

    Divide the numerator and the denominator by the GCF 90: 270 ÷ 90 = 3 and 180 ÷ 90 = 2. So 270/180 in lowest terms is 3/2.